LINEAR PROGRAMMING AND COMPUTER PROGRAMS

U ovom završnom radu prikazana je važnost primjene računalnih programa u rješavanju problema linearnog programiranja. Obrađen je jedan matematički model unutar sedam različitih programa: MS Excel (dodatak Rješavač), WinQSB, LINDO, MPL, Scilab, MATLAB, Octave. Svaki od tih programa doprinosi, na određen način, lakšem rješavanju matematičkih problema. Rješavač u MS Excelu daje vrlo opširna izvješća o odgovoru i osjetljivosti te ukazuje na moguće promjene koje bi povoljno utjecale na konačnu dobit. WinQSB daje grafičko rješenje problema te je moguće prikazivanje simplex tablica. Programi LINDO i MPL također daju opširnije rješenje sa zauzećima, odnosno slobodnim vremenima strojeva, dok programi Scilab, MATLAB i Octave, koji su vrlo slični, daju uglavnom konačna rješenja vrijednosti varijabli i funkcije cilja.In this bachelor thesis, the importance of the application of computer programs in solving the problem of linear programming is shown. One mathematical model within seven different programs was processed: MS Excel (tool Solver), WinQSB, LINDO, MPL, Scilab, MATLAB, Octave. Each of these programs contributes, in a certain way, to easier solving of mathematical problems. Solver of MS Excel provides very comprehensive reports on optimal solution and sensitivity of the model and indicates possible changes that would favourably affect the final profit. WinQSB provides the graphical solution to the problem, which can be presented by the simplex tables too. The LINDO and MPL programs also provide a more comprehensive solution with slack or surplus variables, while the Scilab, MATLAB and Octave programs, which are very similar to each other, provide mostly the final solution for the values of the variables and the objective function